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alekssr [168]
3 years ago
12

140 fluid ounces increased by 45%

Mathematics
1 answer:
Radda [10]3 years ago
4 0
100\%\ increased\ by\ 45\%=100\%+45\%=145\%\\\\method\ \#1\\\\p\%=\frac{p}{100}\to145\%=\frac{145}{100}=\frac{145:5}{100:5}=\frac{29}{20}\\\\145\%\ of\ 140=\frac{29}{20}\cdot140=29\cdot7=\boxed{203\ (ounces)}\leftarrow answer


method\ \#2\\\\\begin{array}{ccc}140&-&100\%\\x&-&145\%\end{array}\ \ \ cross\ multiply\\\\\\100\cdot x=140\cdot145\ \ \ \ |divide\ both\ sides\ by\ 100\\\\x=\frac{140\cdot145}{100}\\\\\boxed{x=203\ (ounces)}
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Each Saturday the gym holds 45 minute yoga classes. The weekday yoga classes last 30 minutes. The number of weekday classes vari
yanalaym [24]

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

165-45 = 120

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

\frac {120} {30} = 4

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

6 0
2 years ago
The surface area of the right prism shown is _________________square inches.
levacccp [35]

Answer:

Step-by-step explanation:

A = 2(½(20)(15)) + 16(15 + 20 + 25) = 1,260 in²

6 0
2 years ago
Which is the graph of the following equation?
lesantik [10]

Given equation is

\frac{(x-5)^2}{16} - \frac{(y-2)^2}{9}=1

The given equation is in the form of

\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2}=1

a^2= 16  , so a=4

b^2 = 9 so b= 4

The value of 'a' is greater than the value of 'b'

So it is a Horizontal hyperbola

First two graphs are horizontal hyperbola

Here center is (h,k)  

h= 5 and k =2 from the given equation

So center is (5,2)

Now we find vertices

Vertices are (h+a,k)  and (h-a,k)

We know h=5, k=2  and a=4

So vertices are (9,2)  and (1,2)

Second graph having same vertices and center

The correct graph is attached below


7 0
3 years ago
Read 2 more answers
What is the value of r for 19 and 20?
nata0808 [166]

Answer:

19.) r = -4    20.) r = 1

Step-by-step explanation:

19.) Because we know the slope and have some points, we can use point-slope form to find the equation.

Point-slope form is:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - 3 = 7/6(x - 1)

y - 3 = 7/6x -7/6

y = 7/6x + 11/6

Now that we know the equation, we can put in the x value to find the y (In this case, y = r):

r = 7/6(-5) + 11/6

r = -35/6 + 11/6

r = -4

20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.

We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.

r = 1

4 0
3 years ago
Can you please put the answer in spaces not all together
4vir4ik [10]
I dont get it im confusid here
7 0
2 years ago
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